Exact diagonalization of finite frustrated spin-(1/2 Heisenberg models
- 1 March 1990
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 41 (7), 4619-4632
- https://doi.org/10.1103/physrevb.41.4619
Abstract
We have studied the spectrum of low-spin eigenstates of a spin-(1/2 Heisenberg model on 4×4 square lattices with up to third-neighbor antiferromagnetic exchange interactions. We have computed the staggered susceptibility, spin-spin correlation function, and the overlap of the exact ground state with various variational spin-density-wave ordered states as well as with the equal-amplitude, nearest-neighbor resonating-valence-bond state (which is the prototypical short-ranged RVB state). We find evidence for a complicated phase diagram with a region in which a short-ranged RVB state may be the ground state.Keywords
This publication has 50 references indexed in Scilit:
- Superconductivity and the Quantum Hard-Core Dimer GasPhysical Review Letters, 1988
- The Relationship Between High-Temperature Superconductivity and the Fractional Quantum Hall EffectScience, 1988
- The low temperature properties of a short-ranged resonating-valence-bond superconductorPhysica C: Superconductivity and its Applications, 1988
- Superconducting Ground State of Noninteracting Particles Obeying Fractional StatisticsPhysical Review Letters, 1988
- 2 e or not 2 e : Flux Quantization in the Resonating Valence Bond StateEurophysics Letters, 1988
- Equivalence of the resonating-valence-bond and fractional quantum Hall statesPhysical Review Letters, 1987
- The resonating valence bond state and high-Tc superconductivity — A mean field theorySolid State Communications, 1987
- Resonating–valence-bond theory of phase transitions and superconductivity in-based compoundsPhysical Review Letters, 1987
- Topology of the resonating valence-bond state: Solitons and high-superconductivityPhysical Review B, 1987
- The Resonating Valence Bond State in La 2 CuO 4 and SuperconductivityScience, 1987